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Finding the Fourth Proportional to 544.14, 751.32 and 347.76

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Solution

The fourth proportional to 544.14, 751.32 and 347.76 is: 480.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.14 : 751.32 = 347.76 : x
  2. Step 2: Convert to fraction form
    544.14/751.32 = 347.76/x
  3. Step 3: Cross multiply
    544.14x = 751.32 × 347.76
  4. Step 4: Simplify right side
    544.14x = 261,279.04
  5. Step 5: Solve for x
    x = 261,279.04/544.14
  6. Step 6: Final answer
    x = 480.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.